Select the correct answer.


Which of the following shows a graph of the equation above?

Select The Correct Answer.Which Of The Following Shows A Graph Of The Equation Above?

Answers

Answer 1

9514 1404 393

Answer:

  D.  Z

Step-by-step explanation:

Compare the given equation to the point-slope form ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You see that ...

m = 4(h, k) = (4, 6)

__

Graphs X and Z have lines with a slope of 4, but only the line in graph Z goes through the point (4, 6).


Related Questions

Plz help me on this one.

Plz help me on this one.

Answers

Answer: 2

Step-by-step explanation:

Answer:

To find the value of x, add 5 to each side.

x - 5 = 13

+5 +5

x = 18

:)

Please answer right brineliest to wover right

Please answer right brineliest to wover right

Answers

Answer:

10

15

-5

-35

-30

0

Step-by-step explanation:

Step-by-step explanation:

A: 10 degrees

B: 15 degrees

C: -5 degrees

D: -35 degrees

E: -30 degrees

F: 0 degrees

Please answer this question

Please answer this question

Answers

Answer:

1. 40 2. t/5 = d

Step-by-step explanation:

Every five minutes he travels 1 mile

200/5 = 40

After 200 minutes he travels 40 miles

t/5 = d

5=d......................

a TV NORMALLY COSTS 520 IN A SALE ALL PRICES REDUCES BY 10 PERCENT

Answers

Answer:

The new price of the TV  is $468

Step-by-step explanation:

Hope that helps

Answer: $468 for the TV.

Step-by-step explanation: Originally, the TV cost 520 dollars, but because of the sale, it is now reduced by 10%.

10% of 520 = 52.

520 - 52 = 468.

Hope this helps! :)

XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.​

Answers

The values of the constants m and c include the following:

m = -1.3

c = 7.1

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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A particular disease is tested for and the results determine that it occurs in about 1 of every 750 Hispanic females and about 1 of every 138,000 non-Hispanic females 26,000 Hispanic females were to be tested, about how many of them would you expect to have this particular disease?

Answers

Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

Hispanic female;

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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Find the missing side lengths. Leave your answers as radicals in simplest form.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

A.

\( x = \frac{7\sqrt{6}{3} \)

\( y = \frac{7\sqrt{6}}{3} \)

Step-by-step explanation:

Reference angle = 60°

Opposite = \( \frac{7\sqrt{2}}{2} \)

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 60° = Opp/Hyp

\( sin 60° = \frac{\frac{7\sqrt{2}}{2}}{x} \)

\( \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{2}}{2}}{x} \) (sin 60 = √3/2)

\( \frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2}*\frac{1}{x} \)

\( \frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2x} \)

Cross multiply

\( \sqrt{3}*2x = 7\sqrt{2}*2 \)

\( 2\sqrt{3}*x = 14\sqrt{2} \)

Divide both sides by 2

\( \sqrt{3}*x = 7\sqrt{2} \)

Divide both sides by √3

\( x = \frac{7\sqrt{2}}{\sqrt{3}} \)

Rationalize

\( x = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}} \)

\( x = \frac{7\sqrt{6}{3} \)

✔️To find y, apply the trigonometric function TOA:

Tan 60° = Opp/Adjacent

\( Tan 60° = \frac{\frac{7\sqrt{2}}{2}}{y} \)

\( \sqrt{3} = \frac{\frac{7\sqrt{2}}{2}}{y} \) (tan 60 = √3)

\( \sqrt{3} = \frac{7\sqrt{2}}{2}*\frac{1}{y} \)

\( \sqrt{3} = \frac{7\sqrt{2}}{2y} \)

Cross multiply

\( \sqrt{3}*2y = 7\sqrt{2} \)

\( 2\sqrt{3}*y = 7\sqrt{2} \)

Divide both sides by √3

\( y = \frac{7\sqrt{2}}{\sqrt{3}} \)

Rationalize

\( y = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}} \)

\( y = \frac{7\sqrt{6}}{3} \)

I’ve been trying to figure this out

Ive been trying to figure this out

Answers

As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.

What does the term function mean?

Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on

Here,

Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.

This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.

The asymptotes for the vertical slope are x = -4,

The horizontal asymptotes are Y = 0 and.

Slant has an asymptote of Y = x -4.

An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.

As a consequence, the solution to the given function problem is slant sampling points, which are y.

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suppose you roll two six-sided dice. let the macrostate s of the two dice be the sum of their top faces.

Answers

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

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The slope of a line is -3 what is the slope of any line parallel to this line?

Answers

Note that lines are parallel if their slope is equal.

Since the slope a line is -3,

the slope of any line must be -3 for them to be parallel to each other.

The answer is -3.

in a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. however, 89% of the students believe that five minutes is not enough time for students to change classes. let p hat subscript upper f and p hat subscript s be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat subscript upper f baseline minus p hat subscript s ?

Answers

The difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

What is the standard deviation?

A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a broader range.

The standard deviation is a measure of variance or dispersion in statistics.

So, the sampling distribution's standard deviation is calculated as follows:

\(\begin{aligned}& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=\sqrt{\frac{0.37 \times(1-0.37)}{28}+\frac{0.89 \times(1-0.89)}{100}} \\& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=0.096\end{aligned}\)

The actual proportional difference between those who believe five minutes is not enough time for pupils to switch courses and those who believe this is generally 0.096.

Therefore, the difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

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Correct question:

n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?

15(2 x+3)+100=110-5x
30 x+45+100=110-5x
30 x+145=110-5x
35 x+145=110
35 x=-35
x=-1

15(2 x+3)+100=110-5x30 x+45+100=110-5x30 x+145=110-5x35 x+145=11035 x=-35x=-1

Answers

Step-by-step explanation:

Reasons for each step

1. Distribute: 15(2x + 3) = 30x + 45

2. Combine Like Terms: 45+100 = 145

3. Addition Property of Equality: 30x+5x+145 = 110-5x+5x => 35x+145 = 110

4. Subtraction Property of Equality: 35x+145-145 = 110-145 => 35x = -35

5. Division Property of Equality: 35x/35 = -35/35 => x = -1

You purchase a new jet ski today. The value of that jet ski depreciates based on the function f(t) = 8,500(0.72)t, where t is measured in years after purchase. How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?

Answers

We conclude that after 7/4 years the value of the jet ski is $4,784

How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?

The value of the jet ski is given by the exponential equation:

f(t) = 8,500*(0.72)^t

Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:

f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55

If now we need to round it to the nearest dollar, then we round upwards to 4,784

In this way, we conclude that after 7/4 years the value of the jet ski is $4,784

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If X-A and X-B, then…

A ZperpA

B X||Y

C A||B

If X-A and X-B, thenA ZperpAB X||YC A||B

Answers

From the line theorems explained below and when we apply it to the given image, we have; X║Y, A║B, Z ⊥ A

What is the transverse line theorem?

The perpendicular transversal theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.

Now, since we are told that Line X is perpendicular to Line A, then it means that Line X is also perpendicular to line B.

The inverse of perpendicular transversal theorem states that if there are two perpendicular lines to a straight line, they're parallel to each other. Thus, it means that Line X is parallel to Line Y and similarly, line A is parallel to Line B.

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The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.

Which equation can be used to find the high temperature for that day?


51 = 17h

51 = h + 17

51=h−17

h + 51 = 17

Answers

51=h-17

You’re trying to find a certain high temperature. You know that the low is 51°, which is 17° lower than the high temperature(h). With this information, you can find that h=68 (51+17). To get from 68° to 51°, you would subtract 17°. Making the equation 51=h-17.

Answer:

c. 51=h−17

Step-by-step explanation:

the other ones dont make since and C is the only one that does.

WILL MARK BRAINLIST!!

Anthony drew a picture of the front view of a doghouse using two congruent triangles and a rectangle, as shown in the diagram. 3 in. 4 in. 12 in. What is the area of the picture of the doghouse in square inches?​

WILL MARK BRAINLIST!!Anthony drew a picture of the front view of a doghouse using two congruent triangles

Answers

Answer:

66 in.

Step-by-step explanation:

the rectangle has an area of 48in. because 4x11 = 48. The triangles have a base of 6 because 12 ÷ 2=6. the formula for area of a triangle is BxHx1/2 and the height is 3in so 6x3= 18 and 18x1/2=9 and there is two triangles and the other has the same area. Then you add up the area of everything so 48+9+9 = 66

Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 65 miles an hour. Don noticed that 5 hours into the trip they were 625 miles from the destination. a. How far from their destination will they be 5.3 hours since entering the freeway? Preview b. How far from their destination were they 4.7 hours since entering the freeway? Preview

Answers

(a) Thus, they are 601.5 miles far from their destination.

(b) Thus, they are 692.5 miles far from their destination.

We know that speed, distance, and time all are in a relationship to each other. this relationship can be given as,

Speed*time = Distance

Given to us

Speed = 65 miles an hour

Don noticed that 5 hours into the trip they were 625 miles from the destination.

Distance traveled by them in 5 hours

We know that Don and Ana are traveling at a constant speed and they are traveling for 5 hours.

Distance = speed * time

Distance = 65 *5 = 320 miles.

Thus, the Distance traveled by them in 5 hours is 320 miles.

Total Distance from their destination

We know that Don and Ana are traveling on the freeway for the past 5 hours and they are still 625 miles away, therefore,

otal Distance from their destination

= Distance traveled by them in 5 hours + 650 miles

= 320 miles + 625miles

=945 miles

Thus, the distance traveled by then is 945 miles.

A.) Distance between them and destination after 5.3 hours since entering the freeway,

Distance traveled by them = speed x 5.3

                                           = 65*5.3   =  344.5

 Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 945 miles - 344.5 miles

= 601.5 miles          

Thus, they are 601.5 miles far from their destination.      

B.) Distance between them and destination after 2.3 hours since entering the freeway,

Distance traveled by them = speed x 4.7

                             = 65 x 4.7 =  305.5 miles

Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 945miles - 305.5 miles

= 639.5 miles

Thus, they are 692 miles far from their destination.

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is this an equation or a expression 45+ 2p​

Answers

I think it’s a equation.
I think This is an equation

Between permanent life insurance and term life insurance, which typically has the lower premium and why?
a.
Term life insurance has the lower premium because term life insurance pays the face value to your beneficiary if you die within a certain set period of time, whereas whole life insurance covers you your entire life.
b.
Term life insurance has the lower premium because you cannot renew the insurance after your term has ended.
c.
Permanent life insurance has the lower premium because you are making more premium payments (your whole life versus a set period of time), so the amount per premium payment is less.
d.
Permanent life insurance has the lower premium because the amount you contribute is then invested and makes interest for the life insurance company.


Please select the best answer from the choices provided

A
B
C
D

Answers

Term life insurance has the lower premium because term life insurance pays the face value to your beneficiary if you die within a certain set period of time, whereas whole life insurance covers you your entire life. (Option A)

What is insurance?

Insurance is when a third-party (the insurer) promises to indemnify another party (the insured) for losses they might suffer in the future in exchange for agreed upon payments.

Permanent life insurance is a type of insurance that provides a coverage that never expires. The person with a permanent life insurance is covered until he or she passes on. Whole life insurance is a type of permanent life insurance that has a fixed and guaranteed premium and a fixed death benefit.

Term life insurance is a type of insurance that provides coverage to a person only for a scheduled period of time. For example, a person who buys a 10 year term life insurance, the person's insurance only lasts for 10 years. If the person passes on within the 10 years, his beneficiary receives payments. If the person passes on after 10 years, his beneficiary does not receive any payments.

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please help i asked million times .

please help i asked million times .

Answers

Answer:

John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.

Step-by-step explanation:

Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:

3.5x + 2x = 46.75, where the coefficients equals the amount of hours.

Let's solve for x!

5.5x=46.75

x = 46.75/5.5 = 17/2 = 8.5

John and Pam are paid 8.5 dollars per each hour worked.

To figure out John's share of the money, we will multiply the wage by the hours he worked.

8.5 x 3.5 = 29.75

A package of 5 pairs of insulated gloves costs ​$28.955. What is the unit price of the pairs of gloves ​?

Answers

If a package of 5 pairs of insulated gloves costs $28.955,then the unit price of the pairs of gloves is $5.791

A package of 5 pairs of insulated gloves costs ​$28.955

The price of 5  pairs of insulated gloves = $28.955

Here we have to use the unitary method

The price of 1 pair of insulated gloves = The price of 5  pairs of insulated gloves / 5

Substitute the values in the equation and divide it

The price of 1 pair of insulated gloves = 28.955/5

= $5.791

Hence, if a package of 5 pairs of insulated gloves costs $28.955,then the unit price of the pairs of gloves is $5.791

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Use a compass and straightedge to construct an equilateral triangle in which PQ is

one side. Your final answer should be exactly three blue line segments (including the

one already drawn).


Select a tool (compass, segment, ray, line, undo

Answers

Based on the information, the line segments PR and QR and PQ to form an equilateral triangle.

How to explain the triangle

The three blue line segments are PQ, PR, and QR. In order to construct an equilateral triangle with PQ as one side using a compass and straightedge:

1.  Draw a line segment PQ.

2. Place the compass at point P and draw a circle with radius PQ.

3. Without changing the radius of the compass, place the compass at point Q and draw another circle.

4. The intersection of the two circles is point R.

Draw line segments PR and QR to form an equilateral triangle.

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Use a compass and straightedge to construct an equilateral triangle in which PQ isone side. Your final

Answer:

Based on the information, the line segments PR and QR and PQ to form an equilateral triangle.

How to explain the triangle

The three blue line segments are PQ, PR, and QR. In order to construct an equilateral triangle with PQ as one side using a compass and straightedge:

1.  Draw a line segment PQ.

2. Place the compass at point P and draw a circle with radius PQ.

3. Without changing the radius of the compass, place the compass at point Q and draw another circle.

4. The intersection of the two circles is point R.

Draw line segments PR and QR to form an equilateral triangle.

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How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest

Answers

Answer:

T=2 years.

hope it will help u.

How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple

-1000 2/3 is not real fraction. True or false

Answers

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Find the exterior of a rectangle in a polygon

Answers

The measure of each exterior angles of rectangle is 90°

Finding the exterior of a rectangle in a polygon

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D? ​

Answers

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.


W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?

Answers

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

PLEASE HELP ASAP

Add.

7215+523+91315

Answers

Answer:

99,053

Step-by-step explanation:

It seems that recently something invented which called the calculator I'm gonna use it to answer ur question dude.

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Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select all that apply. Note: 1 pound = 16 ounces

Answers

Answer:

Georgia's brother  > 176 Ounces

Step-by-step explanation:

He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.

Answer:

0<x<176

Step-by-step explanation:

12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?​

Answers

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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